Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
59976x |
Isogeny class |
Conductor |
59976 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
4852148603904 = 210 · 39 · 72 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 2 1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4347,-30618] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:216:1] |
Generators of the group modulo torsion |
j |
9198252/4913 |
j-invariant |
L |
6.9021000077568 |
L(r)(E,1)/r! |
Ω |
0.62511172970968 |
Real period |
R |
2.7603465427286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000093 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119952c1 59976d1 59976w1 |
Quadratic twists by: -4 -3 -7 |